How to solve this math problem about diophantine?

1. 📝 Identify: Diophantine equation: 8x + 12y = 1 2. 🧮 Compute GCD: gcd(|8|, |12|) = gcd(8, 12) = 4

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Solve Find integer solutions for the Diophantine equation: 8x + 12y = 1 — Step-by-Step Solution by AhaStep | AhaStep

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📐 MathLevel 6 — 🔵 Intermediatediophantine👁 19 views⏱ 1 min read

Solve Find integer solutions for the Diophantine equation: 8x + 12y = 1 — Step-by-Step Solution by AhaStep

📝 Problem

Find integer solutions for the Diophantine equation: 8x + 12y = 1

1. 📝 Identify: Diophantine equation: 12y$ = 1$

2. 🧮 Compute GCD: gcd(|8|, |12|) = gcd(8, 12) = 4

3. ❌ No solution: 1 is not divisible by gcd = 4, so no integer solutions exist

Đáp án: No integer solutions

🔒 2 steps remaining

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1. 📝 Identify: Diophantine equation: 12y$ = 1$

2. 🧮 Compute GCD: gcd(|8|, |12|) = gcd(8, 12) = 4

3. ❌ No solution: 1 is not divisible by gcd = 4, so no integer solutions exist

Đáp án: No integer solutions

🔒 2 steps remaining